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How big can a probability be?

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Anonymous

13y ago
Updated: 8/18/2019

When dealing with probability there is a range of values of the probability of an event. The probability of an event (E) is any number (fraction or decimal) between zero and one. (0≤ P(E)≤1)

When an event is certain to occur the probability of E is 1. This means that there is 100% that something will happen. This is why your sum of all the probabilities must add up to equal 1.

For example: Flip a coin. You have a 50% chance of it landing on heads and a 50% chance of it landing on tails since there are only two possibilities.

Let H=heads

Let T=tails

∑P= P(H)+P(T)=0.5+0.5=1

This is telling you, you have a 100% chance of it landing on either heads or tails.

If the event cannot happen the event contains no members in the sample space so its probability is zero.

For example: Roll a single die one time. Find the probability of rolling a 7:

This cannot happen so the probability is zero.

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13y ago

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